What is the 5905th prime number?
The 5905th prime number is 58321. The next prime is 58337 (a gap of 16) and the one before is 58313.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5905th one is 58321.
- 2
58321 is prime because no prime up to ā58321 ā 241.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5905th prime is close to 5905 Ć ln(5905) ā 51276, and here it is 58321.
- 4
58321 has no twin: neither 58319 nor 58323 is prime.
Primes around the 5905th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5902 | 58271 | 28 |
| 5903 | 58309 | 38 |
| 5904 | 58313 | 4 |
| 5905 | 58321 | 8 |
| 5906 | 58337 | 16 |
| 5907 | 58363 | 26 |
| 5908 | 58367 | 4 |
Questions
What is the 5905th prime number?
58321.
Which prime number is 58321?
58321 is the 5905th prime number.
What is the sum of the first 5905 primes?
162,857,446.